点状反射边界附近的量子布朗运动
Quantum Brownian motion near a point-like reflecting boundary
摘要：
在（1 + 1）维平坦时空中研究了在完全反射边界存在下测试粒子与量子标量场相互作用的布朗运动。特别是，明确推导出的速度和位置的粒子的分散体的表达式和他们的行为检查。结果与电荷与反射面边界附近的量子电磁场相互作用的结果相似，主要是关于色散在原点（边界处）的发散行为，以及在对应于光脉冲往返粒子和边界之间的时间间隔处的发散行为。最后，我们讨论允许粒子位置波动的一些效应。
英文摘要：
The Brownian motion of a test particle interacting with a quantum scalar field in the presence of a perfectly reflecting boundary is studied in (1 + 1)-dimensional flat spacetime. Particularly, the expressions for dispersions in velocity and position of the particle are explicitly derived and their behaviors examined. The results are similar to those corresponding to an electric charge interacting with a quantum electromagnetic field near a reflecting plane boundary, mainly regarding the divergent behavior of the dispersions at the origin (where the boundary is placed), and at the time interval corresponding to a round trip of a light pulse between the particle and the boundary. We close by addressing some effects of allowing the position of the particle to fluctuate.
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